Wave scattering from non-random fractal surfaces

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摘要：

We consider here the scattering of optical or electromagnetic waves from perfectly conducting rough surfaces modelled by a multi-scale bandlimited deterministic continuous fractal function. A generalized Rayleigh solution is developed analytically for wave scattering from such fractal surfaces. We numerically calculate the coupling strengths and relate the angular scattering energy distribution to the fractal descriptors of the surface. We find that the slope of the coupling strengths as a function of their corresponding spatial frequencies depends monotonically on the fractal dimension of the scattering surface.

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关键词：

Theoretical or Mathematical/ electromagnetic wave scattering fractals light scattering Rayleigh scattering/ nonrandom fractal surfaces optical waves electromagnetic waves perfectly conducting rough surfaces multi-scale bandlimited deterministic continuous fractal function generalized Rayleigh solution wave scattering coupling strengths angular scattering energy distribution fractal descriptors spatial frequencies fractal dimension scattering surface/ A4220G Optical scattering, diffraction, dispersion and polarization in inhomogeneous media A4110H Electromagnetic waves: theory